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Finding the Fourth Proportional to 2,751.94, 4,126.37 and 902.56

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Solution

The fourth proportional to 2,751.94, 4,126.37 and 902.56 is: 1,353.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.94 : 4,126.37 = 902.56 : x
  2. Step 2: Convert to fraction form
    2,751.94/4,126.37 = 902.56/x
  3. Step 3: Cross multiply
    2,751.94x = 4,126.37 × 902.56
  4. Step 4: Simplify right side
    2,751.94x = 3,724,274.55
  5. Step 5: Solve for x
    x = 3,724,274.55/2,751.94
  6. Step 6: Final answer
    x = 1,353.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.